Pseudo almost periodic solutions for Clifford-valued neutral-type fuzzy neural networks with multi-proportional delay and D operator1

Author:

Xu Huili1,Li Bing1

Affiliation:

1. School of Mathematics and Computer Science, Yunnan Nationalities University, Kunming, Yunnan, China

Abstract

In this paper, a class of Clifford-valued neutral fuzzy neural-type networks with proportional delay and D operator and whose self feedback coefficients are also Clifford numbers are considered. By using the Banach fixed point theorem and some differential inequality techniques, we directly study the existence and global asymptotic stability of pseudo almost periodic solutions by not decomposing the considered Clifford-valued systems into real-valued systems. Finally, two examples are given to illustrate our main results. Our results of this paper are new.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference47 articles.

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2. Applications of Clifford’s geometric algebra;Hitzer;Adv Appl Clifford Algebras,2013

3. Buchholz S. , A theory of neural computation with Clifford algebras, Ph.D. thesis, University of Kiel, (2005).

4. Global exponential stability of Clifford-valued recurrent neural networks;Zhu;Neurocomputing,2015

5. Global stability of Clifford-valued recurrent neural networks with time delays;Liu;Nonlinear Dyn,2016

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